Realistically they don't need to explain any of it, though. As long as we can see that Scotty knows what he's doing, we don't actually need to have him explaining to us that he's [tech]ing the [tech] [tech].
I believe Roddenberry's analogy at the time was that a cop doesn't stop to explain to the viewers at home the intricate scientific principals behind how a bullet gets propelled down the cylinder of a gun every time he shoots the bad guy, so why would our 23rd century humans explain transporter harmonics when to them the technology is as commonplace as today's microwaves are to us?
I believe Roddenberry's analogy at the time was that a cop doesn't stop to explain to the viewers at home the intricate scientific principals behind how a bullet gets propelled down the cylinder of a gun every time he shoots the bad guy, so why would our 23rd century humans explain transporter harmonics when to them the technology is as commonplace as today's microwaves are to us?
